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Finding the Fourth Proportional to 307,966.80, 461,950.20 and 289,304.40

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Solution

The fourth proportional to 307,966.80, 461,950.20 and 289,304.40 is: 433,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,966.80 : 461,950.20 = 289,304.40 : x
  2. Step 2: Convert to fraction form
    307,966.80/461,950.20 = 289,304.40/x
  3. Step 3: Cross multiply
    307,966.80x = 461,950.20 × 289,304.40
  4. Step 4: Simplify right side
    307,966.80x = 133,644,225,440.88
  5. Step 5: Solve for x
    x = 133,644,225,440.88/307,966.80
  6. Step 6: Final answer
    x = 433,956.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.